STOCHASTIC MODELS FOR OPTIMAL DRUG ADMINISTRATION IN CANCER CHEMOTHERAPY

摘要

Stochastic models play a prominent role in analysis and designing of processes at various places like, biological, physical, medical and other areas. One of the important areas of concentration in medical sciences is developing optimal operating strategies for drug administration in chronic diseases like, Cancer, TB, Leprosy etc. In this paper, we develop a suitable stochastic model for optimal drug administration in cancer chemotherapy problem. The analysis for drug administration period is discussed. The sensitivity of the model with respect to the parameters is also studied with numerical illustrations. Average time for mutant cell duration in the tumor during the drug administration and absence of drug spells are derived. This study is very much useful for health care takers. Developing software and automation of these models will make this work more user friendly.